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Finding the Third Proportional to 129,901,977 and 282,671,936

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Solution

The third proportional to 129,901,977 and 282,671,936 is: 615,105,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901,977 : 282,671,936 = 282,671,936 : x
  2. Step 2: Convert to fraction form
    129,901,977/282,671,936 = 282,671,936/x
  3. Step 3: Cross multiply
    129,901,977x = 282,671,936 × 282,671,936
  4. Step 4: Simplify right side
    129,901,977x = 79,903,423,401,988,096
  5. Step 5: Solve for x
    x = 79,903,423,401,988,096/129,901,977
  6. Step 6: Final answer
    x = 615,105,522.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.